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3956742 = 233471559
BaseRepresentation
bin1111000110000000000110
321110000122000
433012000012
52003103432
6220450130
745426456
oct17060006
97400560
103956742
112262839
1213a9946
13a86c8a
1474dd66
1553257c
hex3c6006

3956742 has 32 divisors (see below), whose sum is σ = 8985600. Its totient is φ = 1290024.

The previous prime is 3956741. The next prime is 3956749. The reversal of 3956742 is 2476593.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3956697 and 3956706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3956741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1759 + ... + 3317.

It is an arithmetic number, because the mean of its divisors is an integer number (280800).

Almost surely, 23956742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3956742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492800).

3956742 is an abundant number, since it is smaller than the sum of its proper divisors (5028858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3956742 is a wasteful number, since it uses less digits than its factorization.

3956742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1611 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3956742 is about 1989.1561024716. The cubic root of 3956742 is about 158.1657982912.

The spelling of 3956742 in words is "three million, nine hundred fifty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 1559 2538 3118 4677 9354 14031 28062 42093 73273 84186 146546 219819 439638 659457 1318914 1978371 3956742